Prime p₀= 2623158350926484339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2623156762688656561	0 48 52 66 108 112 136 162 196 222 246 250 292 306 310 358	-1588237827778
STPT(10)	2623157101198562021	0 2 30 32 60 62 90 92 120 122	-1249727922318
STPT(10)	2623157532881650319	0 2 42 44 60 62 78 80 120 122	-818044834020
SPT(16)	2623157980445357533	0 24 70 156 246 268 310 334 360 384 426 448 538 624 670 694	-370481126806
STPT(10)	2623158232083270491	0 2 30 32 78 80 126 128 156 158	-118843213848
SPT(16)	2623158344608274917	0 36 156 202 220 234 240 252 394 406 412 426 444 490 610 646	-6318209422
SPT(16)	2623158611350524991	0 6 42 52 60 150 160 162 226 228 238 328 336 346 382 388	260424040652
STPT(10)	2623158894106024031	0 2 6 8 18 20 30 32 36 38	543179539692
SPT(16)	2623158949728989909	0 14 68 72 144 182 188 210 212 234 240 278 350 354 408 422	598802505570
SPT(16)	2623158996669805127	0 6 30 42 56 72 74 86 120 132 134 150 164 176 200 206	645743320788
STPT(10)	2623159208069810087	0 2 12 14 42 44 72 74 84 86	857143325748